Fractional turn coil winding

ABSTRACT

Systems and methods for multiplying the loop voltage of a coil having one or more turns using multiple coil sections to multiply the loop voltage by a factor equal to the number of coil arc sections. The systems and methods for producing fractional turn windings comprise splitting the initial feed line from the capacitor by as many times as the desired total multiple of the voltage in the capacitor, and applying the feeds to the respective fractional turns or arc sections of the coil.

CROSS-REFERENCE TO RELATED APPLICATIONS

The present application is a continuation of PCT Patent Appl. No.PCT/US14/15883, filed Feb. 11, 2014, which claims the benefit of andpriority to U.S. Provisional Application No. 61/763,281, filed on Feb.11, 2013, which are hereby incorporated by reference in their entirety.

FIELD

The embodiments described herein relate generally to loop voltage ofcoils and, more particularly, to systems and methods that elevate theloop voltage of single turn and multi-turn coils to a greater volt perturn value than the power source or switch to which coil is coupledcould produce or accommodate.

BACKGROUND INFORMATION

A multitude of applications require a single turn coil. However, it issometimes desirable to increase the voltage provided by a capacitor orother power source to a single turn coil to increase the loop voltage ofthe single turn coil. The need to increase the voltage provided istypically due to the voltage rating of the capacitor or an associatedswitch being less than needed for the application. Increasing thevoltage rating of the capacitor or the switch is often a costprohibitive solution.

One current solution is to provide a greater volt per turn to a singleturn coil than the capacitor could produce or the switch couldaccommodate using opposite polarity voltages. However, the oppositepolarity technique is limited to increasing the loop voltage of thesingle turn coil to only double the voltage the capacitor can produce.

Thus, it is desirable to provide systems and methods that facilitateincreasing the loop voltage of a coil to any desired multiple of thevoltage stored in the capacitor or other power source.

SUMMARY

The embodiments described herein are directed to use of fractional turnwindings to produce a desired multiple of a voltage stored in acapacitor, a capacitor bank, or other power source to which the coil isconnected as the loop voltage around the turns of a coil. Moreparticularly, the embodiments described herein are directed to systemsand methods for multiplying the loop voltage of a single turn coil or amulti-turn coil using multiple coil sections to multiply the loopvoltage by a factor equal to the number of coil arc sections.

The systems and methods for producing fractional turn windings comprisesplitting the initial feed line from the capacitor by as many times asthe desired total multiple of the voltage in the capacitor, and applyingthe feeds to the respective fractional turns or arc sections of thecoil. For example, to double the loop voltage, one would split thecapacitor feed line into two feeds and apply them to connections 180degrees apart. Where the feed line is a coaxial cable, the centerconductor of each coaxial feed returns to the shield of the coaxial feedof the adjacent turn or arc section of the coil. Accordingly the voltagecan be increased by as many times as the coil can be practicallydivided.

The system and methods provided herein, which are directed to aninductively coupled system, are fully utilizable in any AC circuitsystem.

Other systems, methods, features and advantages of the exampleembodiments will be or will become apparent to one with skill in the artupon examination of the following figures and detailed description.

BRIEF DESCRIPTION OF THE FIGURES

The details of the example embodiments, including structure andoperation, may be gleaned in part by study of the accompanying figures,in which like reference numerals refer to like parts. The components inthe figures are not necessarily to scale, emphasis instead being placedupon illustrating the principles of the invention. Moreover, allillustrations are intended to convey concepts, where relative sizes,shapes and other detailed attributes may be illustrated schematicallyrather than literally or precisely.

FIG. 1 is a schematic of a conventional circuit with a capacitor orcapacitor bank coupled through a switch to a load comprising a singleturn coil.

FIG. 2 is a schematic of a circuit with a capacitor or capacitor bankcoupled through a switch to a load comprising a single turn coil havingN arc sections that produce a loop voltage in the single turn coil Ntimes the stored voltage in the capacitor or capacitor bank.

FIG. 3 is a schematic of a circuit with a capacitor or capacitor bankcoupled through a switch having one or more three-position switchmechanisms to a load comprising a single turn coil having N arc sectionsthat produce a loop voltage in the single turn coil N times the storedvoltage in the capacitor or capacitor bank.

FIG. 4 is a schematic of a circuit with a capacitor or capacitor bankcoupled through multiple switches to a load comprising a single turncoil having N arc sections that produce a loop voltage in the singleturn coil N times the stored voltage in the capacitor or capacitor bank.

FIG. 5 is a schematic of a circuit with a capacitor or capacitor bankcoupled through a switch to a load comprising a multi-turn coil, whereM=2, and having N arc sections that produce a loop voltage in themulti-turn coil N/M times the stored voltage in the capacitor orcapacitor bank.

FIG. 6 is a schematic of a circuit with a capacitor or capacitor bankcoupled through a switch to a load comprising a multi-turn coil, whereM=3, and having N arc sections that produce a loop voltage in themulti-turn coil N/M times the stored voltage in the capacitor orcapacitor bank.

FIG. 7 is a schematic of a circuit with a capacitor or capacitor bankcoupled through a switch to a load comprising a multi-turn coil, whereM=1.5, and having N arc sections that produce a loop voltage in themulti-turn coil N/M times the stored voltage in the capacitor orcapacitor bank.

FIG. 8 is a schematic cross-sectional view of the circuit in FIG. 7taken along 8-8 and showing a magnetic field gradient.

FIG. 9 is a schematic of a circuit with a capacitor or capacitor bankcoupled through a switch to a load comprising a fractional-turn coil,where M<1, and having N arc sections.

It should be noted that elements of similar structures or functions aregenerally represented by like reference numerals for illustrativepurpose throughout the figures. It should also be noted that the figuresare only intended to facilitate the description of the preferredembodiments.

DETAILED DESCRIPTION

Each of the additional features and teachings disclosed below can beutilized separately or in conjunction with other features and teachingsto produce systems and methods that facilitate increasing the loopvoltage of single and multi-turn coils to any desired multiple of thevoltage stored in a capacitor, a capacitor bank, or other power sourceto which the coil is connected. Representative examples of the presentinvention, which examples utilize many of these additional features andteachings both separately and in combination, will now be described infurther detail with reference to the attached drawings. This detaileddescription is merely intended to teach a person of skill in the artfurther details for practicing preferred aspects of the presentteachings and is not intended to limit the scope of the invention.Therefore, combinations of features and steps disclosed in the followingdetailed description may not be necessary to practice the invention inthe broadest sense, and are instead taught merely to particularlydescribe representative examples of the present teachings.

Moreover, the various features of the representative examples and thedependent claims may be combined in ways that are not specifically andexplicitly enumerated in order to provide additional useful embodimentsof the present teachings. In addition, it is expressly noted that allfeatures disclosed in the description and/or the claims are intended tobe disclosed separately and independently from each other for thepurpose of original disclosure, as well as for the purpose ofrestricting the claimed subject matter independent of the compositionsof the features in the embodiments and/or the claims. It is alsoexpressly noted that all value ranges or indications of groups ofentities disclose every possible intermediate value or intermediateentity for the purpose of original disclosure, as well as for thepurpose of restricting the claimed subject matter.

The embodiments described herein are directed to multiplying the loopvoltage of a full effective single turn coil using multiple coilsections to multiply the loop voltage by a factor equal to the number ofcoil arc sections. Other embodiments described herein are directed tomultiplying the loop voltage of multi-turn coils using multiple coilsections to multiply the loop voltage by a factor equal to the number ofcoil arc sections.

Turning to FIG. 1, a conventional circuit 10 having a load comprising asingle turn coil 12 is depicted. A single turn coil, such as the singleturn coil depicted in FIG. 1, can be used for a multitude ofapplications.

As depicted in FIG. 1, the single turn coil 12 includes an input end 11and output end 13 and is coupled to a capacitor or bank of capacitors 20through a switch 30 preferably having ratings capable of delivering thecharge or voltage stored in the capacitor 20 into the load, i.e., thesingle turn coil 12. A transmission line 40, such as, e.g., a coaxialcable, strip line or the like, includes a feed component 42F coupled tothe input 11 of the coil 12 and a return component 42R coupled to theoutput 13 of the coil 12.

In operation, a two-position or two-state switch mechanism 32 is closedto transmit the voltage stored in the capacitor 20 to the coil 12. Asnoted above, the loop voltage of the single turn coil 12 is limited tothe voltage rating of the capacitor 20 or the switch 30.

The embodiments described herein are directed to use of fractional turnwindings to produce a desired multiple of a voltage stored in acapacitor, a capacitor bank, or other power source to which the coil isconnected as the loop voltage around single or multi-turn coils. Thesystems and methods for producing fractional turn windings comprisesplitting the initial feed line from the capacitor by as many times asthe desired total multiple of the voltage in the capacitor, and applyingthe feeds to the respective fractional turns or arc sections of thecoil. For example, to double the loop voltage, one would split thecapacitor feed line into two feeds and apply them to connections 180degrees apart. Where the feed line is a coaxial cable, the centerconductor of each coaxial feed returns to the shield of the coaxial feedof the adjacent turn or arc section of the single turn coil. Accordinglythe voltage can be increased by as many times as the turn coil can bepractically divided. In principle, a larger coil can be divided moreoften. As such, the maximum number of divisions is related to the finitesize of the connections and minimum breakdown lengths between positiveand negative coil terminations.

It is also noted that the power transmitted to the single turn coil isadvantageously increased as a greater current is drawn from thecapacitor or capacitor bank as the circuit inductance and transmissionline resistance are both lowered.

Turning to FIG. 2, a preferred embodiment of a circuit 100 having a loadcomprising a single turn coil 110 that includes fractional turn windings112, 115 and 118 is shown. Although depicted as having threeelectrically distinct fractional turn windings segments or arc sections112, 115 and 118 for exemplary purposes only, a single turn coil withfractional turn windings preferable will have two or more electricallydistinct arc sections where the single turn coil can be divided into asmany arc sections that are practical. As depicted, the arc sections areazimuthally symmetric but could be azimuthally asymmetric, i.e., havedifferent arc lengths.

The single turn coil 110 is coupled through a switch 130 to a capacitor,a bank of capacitors or other power source 120 (capacitor). The switch130 preferably comprises a single two-position or two-state switchmechanism 131. The switch 130 used to energize the coil can havedrastically lower voltage requirements, but must have higher currentcarrying capability if only one switch mechanism 131 is used as depictedin FIG. 2. The move towards solid state switches provides for a greatercurrent capability for a given voltage.

As further depicted in FIG. 2, the transmission feed line 140 from thecapacitor 120 is divided into three feeds 142F, 144F and 146F coupled tothe inputs 111, 114 and 117 of the three arc sections 112, 115 and 118,respectively. The return current of each feed 142F, 144F and 146F,whether coaxial or strip line, flows on the return path for the feed ofanother arc section, preferably the next arc section, and in the case ofa coaxial feed, the current of each coaxial feed flows on the shield forthe coaxial feed of another arc section. For example, the return 144R ofthe feed 144F for the second arc section 115 is coupled to the output113 of the first arc section 112 and, thus, the return current of thefeed 142F for the first arc section 112 flows on the return 144R of thefeed 144F for the second arc section 115. Likewise, the return 146R ofthe feed 146F for the third arc section 118 is coupled to the output 116of the second arc section 115 and, thus, the return current of the feed144F for the second arc section 115 flows on the return 146R of the feed146F for the third arc section 118. Further likewise, the return 142R ofthe feed 142F for the first arc section 112 is coupled to the output 119of the third arc section 118 and, thus, the return current of the feed146F for the third arc section 118 flows on the return 142R of the feed142F for the first arc section 112.

As shown in FIG. 3, an alternate embodiment of a circuit 200 includes aswitch 230 that preferably comprises two (2) three-position switchmechanisms 231 and 232 operably coupling the split feeds 142F, 144F and146F and split returns 142R, 144R and 146R to the feed 141F and return141R of the transmission feed line 140 coming from the capacitor 120.

However, each feed can also be controlled by a separate switch asdepicted in yet another alternate embodiment of a circuit 300 shown inFIG. 4, thereby reducing the current requirements on each individualswitch, while retaining the lowered voltage requirement enabled by thedisclosed design. As shown in FIG. 4, a switch 330 preferably comprisesseparate switches 331, 332, 333, 334, 335 and 336 coupling the splitfeeds 142F, 144F and 146F and split returns 142R, 144R and 146R,respectively, to the feed 141F and return 141R of the transmission feedline 140 coming from the capacitor 120.

In the case of multiple switches, however, timing jitter andsynchronization between switches would need to be adequately controlled.However, those skilled in the art will readily recognize that manysatisfactory designs can be devised to meet this constraint.

Advantageously, the load inductance is reduced as a percentage of thetotal coil arc sections. The stray inductance of the multiple feeds alsoreduces with the increased number of feeds as all such feeds are seen bythe circuit as being in parallel. Similarly, the load inductances arealso seen as being in parallel. The relation of the closed loop voltageand inductance to the number M of coil turns and the number N of arcsections is provide in Table 1 below.

TABLE 1 Coil Turns M = 1 M > 1 M < 1 Arc Sections N N N Closed LoopVoltage V · N (V · N)/M Not Closed Inductance L/N (L · M)/N (L · M)/N

Turning to FIG. 5, an alternate embodiment of a circuit 400 is shownhaving a load comprising a multi turn coil 410, where M=2, andfractional turn windings 412, 415, 418, 422 and 425. Although depictedas having five electrically distinct fractional turn windings segmentsor arc sections 412, 415, 418, 422 and 425 for exemplary purposes only,a multi turn coil with fractional turn windings preferable will have twoor more electrically distinct arc sections where the multi turn coil canbe divided into as many arc sections that are practical. As depicted,the arc sections are azimuthally symmetric but could be azimuthallyasymmetric, i.e., have different arc lengths.

The multi turn coil 410 is coupled through a switch 430 to a capacitor,a bank of capacitors or other power source 420 (capacitor). The switch430 preferably comprises a single two-position or two-state switchmechanism 431. The switch 430 used to energize the coil can havedrastically lower voltage requirements, but must have higher currentcarrying capability if only one switch mechanism 431, such as a solidstate switch as noted above with regard to FIG. 2.

As depicted, the transmission feed line 440 from the capacitor 420 isdivided into five feeds 442F, 443F, 444F, 446F and 448F coupled to theinputs 411, 414, 417, 421, 424 of the five arc sections 412, 415, 418,422, and 425 respectively. The return current of each feed 442F, 443F,444F, 446F and 448F, whether coaxial or strip line, flows on the returnpaths 442R, 443R, 444R, 446R and 448R for the feed of another arcsection, preferably the next arc section, and in the case of a coaxialfeed, the current of each coaxial feed flows on the shield for thecoaxial feed of another arc section. For example, the return 443R of thefeed 443F for the second arc section 415 is coupled to the output 413 ofthe first arc section 412 and, thus, the return current of the feed 442Ffor the first arc section 412 flows on the return 443R of the feed 443Ffor the second arc section 415. Likewise, the return 444R of the feed444F for the third arc section 418 is coupled to the output 416 of thesecond arc section 415 and, thus, the return current of the feed 443Ffor the second arc section 415 flows on the return 444R of the feed 444Ffor the third arc section 418. Further likewise, the return 446R of thefeed 446F for the fourth arc section 422 is coupled to the output 419 ofthe third arc section 418 and, thus, the return current of the feed 444Ffor the third arc section 418 flows on the return 446R of the feed 446Ffor the fourth arc section 422. Also further likewise, the return 448Rof the feed 448F for the fifth arc section 425 is coupled to the output423 of the fourth arc section 422 and, thus, the return current of thefeed 446F for the fourth arc section 422 flows on the return 448R of thefeed 448F for the fifth arc section 422. Yet further likewise, thereturn 442R of the feed 442F for the first arc section 412 is coupled tothe output 426 of the fifth arc section 425 and, thus, the returncurrent of the feed 448F for the fifth arc section 425 flows on thereturn 442R of the feed 442F for the first arc section 412.

As noted from Table 1, the closed loop voltage CLV is defined asCLV=(V·N)/MFor the coil 410 of the circuit 400 depicted in FIG. 5, where N=5 arcsections, and M=2 turns, CLV=5V/2 or 2.5 V.

Another alternate embodiment of a circuit 500 is depicted in FIG. 6 ashaving a load comprising a multi turn coil 510 having three turns (M=3)and includes two fractional turn windings (N=2) 512 and 515 is shown.Although depicted as having two electrically distinct fractional turnwindings segments or arc sections 512 and 515 for exemplary purposesonly, a multi turn coil having 3 or more turns (M≥3) with fractionalturn windings preferable will have four or more electrically distinctarc sections (N≥4) where the multi turn coil can be divided into as manyarc sections that are practical. As depicted, the arc sections areazimuthally symmetric but could be azimuthally asymmetric, i.e., havedifferent arc lengths.

The multi turn coil 510 is coupled through a switch 530 to a capacitor,a bank of capacitors or other power source 520 (capacitor). The switch530 preferably comprises a single two-position or two-state switchmechanism 531. As depicted, the transmission feed line 540 from thecapacitor 520 is divided into two feeds 542F and 544F coupled to theinputs 511 and 514 of the two arc sections 512 and 515 respectively. Thereturn current of each feed 542F and 544F, whether coaxial or stripline, flows on the return paths 542R and 544R for the feed of other arcsection, and in the case of a coaxial feed, the current of each coaxialfeed flows on the shield for the coaxial feed of another arc section.For example, the return 544R of the feed 544F for the second arc section515 is coupled to the output 513 of the first arc section 512 and, thus,the return current of the feed 542F for the first arc section 512 flowson the return 544R of the feed 544F for the second arc section 515.Likewise, the return 542R of the feed 542F for the first arc section 512is coupled to the output 516 of the second arc section 515 and, thus,the return current of the feed 544F for the second arc section 515 flowson the return 542R of the feed 542F for the first arc section 512.

Turning to FIG. 7, another alternate embodiment of a circuit 600 isdepicted as having a load comprising a multi turn coil 610 having morethan a single turn where a turn beyond the single turn does not includea full turn, i.e., the number M of coil turns is a non-integer. Like theembodiments noted above, the coil 610 includes fractional turn windings612 and 615. Although depicted as having two electrically distinctfractional turn windings segments or arc sections 612 and 615 forexemplary purposes only, the multi turn coil can be divided into as manyarc sections that are practical. As depicted, the arc sections areazimuthally symmetric but could be azimuthally asymmetric, i.e., havedifferent arc lengths.

The multi turn coil 610 is coupled through a switch 630 to a capacitor,a bank of capacitors or other power source 620 (capacitor). The switch630 preferably comprises a single two-position or two-state switchmechanism 631. As depicted, the transmission feed line 640 from thecapacitor 620 is divided into two feeds 642F and 644F coupled to theinputs 611 and 614 of the two arc sections 612 and 615 respectively. Thereturn current of each feed 642F and 644F, whether coaxial or stripline, flows on the return paths 642R and 644R for the feed of other arcsection, and in the case of a coaxial feed, the current of each coaxialfeed flows on the shield for the coaxial feed of another arc section.For example, the return 644R of the feed 644F for the second arc section615 is coupled to the output 613 of the first arc section 612 and, thus,the return current of the feed 642F for the first arc section 612 flowson the return 644R of the feed 644F for the second arc section 615.Likewise, the return 642R of the feed 642F for the first arc section 612is coupled to the output 616 of the second arc section 615 and, thus,the return current of the feed 644F for the second arc section 615 flowson the return 642R of the feed 642F for the first arc section 612.

As noted from Table 1, the closed loop voltage CLV is defined asCLV=(V·N)/MFor the circuit 610 depicted in FIG. 7, where N=2 arc sections, andM=1.5 turns, CLV=2V/1.5 or 1.33 V.

As shown in FIG. 8, the magnetic field for a coil have multiple turnswhere M is a non-integer will not be uniform but rather having agradient as depicted.

Turning to FIG. 9, a circuit 700 is depicted as having a load comprisinga partial turn coil 710 having less than one full turn, i.e., the numberof turns M<1. Like the embodiments noted above, the coil 710 includesfractional turn windings 712 and 715. Although depicted as having twoelectrically distinct fractional turn windings segments or arc sections712 and 715 for exemplary purposes only, the coil 710 can be dividedinto as many arc sections that are practical. As depicted, the arcsections are azimuthally symmetric but could be azimuthally asymmetric,i.e., have different arc lengths.

The partial turn coil 710 is coupled through a switch 730 to acapacitor, a bank of capacitors or other power source 720 (capacitor).The switch 730 preferably comprises a single two-position or two-stateswitch mechanism 731. As depicted, the transmission feed line 740 fromthe capacitor 720 is divided into two feeds 742F and 744F coupled to theinputs 711 and 714 of the two arc sections 712 and 715 respectively. Thereturn current of each feed 742F and 744F, whether coaxial or stripline, flows on the return paths 742R and 744R for the feed of other arcsection, and in the case of a coaxial feed, the current of each coaxialfeed flows on the shield for the coaxial feed of another arc section.For example, the return 744R of the feed 744F for the second arc section715 is coupled to the output 713 of the first arc section 712 and, thus,the return current of the feed 742F for the first arc section 712 flowson the return 744R of the feed 744F for the second arc section 715.Likewise, the return 742R of the feed 742F for the first arc section 712is coupled to the output 716 of the second arc section 715 and, thus,the return current of the feed 744F for the second arc section 715 flowson the return 742R of the feed 742F for the first arc section 712.

Similar the coil 610 of the circuit 600 depicted in FIG. 7, the magneticfield of the partial turn coil 710 is not uniform but rather having agradient.

The systems and methods discussed above advantageously allow the use oflower voltage switches or lower voltage capacitors to produce a greatervolt per turn to a coil than the capacitor itself could otherwiseproduce, without the requirement to use opposite polarity voltages,which is only capable of doubling the voltage. However, the oppositepolarity technique can also be used with the split coil embodimentsdescribed herein, thereby further increasing the loop voltage of thecoil.

The magnetic field energy available from the capacitor (or capacitorbank) is not increased. It is delivered on a shorter time scale(assuming stray inductances to be substantially less than the loadinductance).

The example embodiments provided herein, however, are merely intended asillustrative examples and not to be limiting in any way.

All features, elements, components, functions, and steps described withrespect to any embodiment provided herein are intended to be freelycombinable and substitutable with those from any other embodiment. If acertain feature, element, component, function, or step is described withrespect to only one embodiment, then it should be understood that thatfeature, element, component, function, or step can be used with everyother embodiment described herein unless explicitly stated otherwise.This paragraph therefore serves as antecedent basis and written supportfor the introduction of claims, at any time, that combine features,elements, components, functions, and steps from different embodiments,or that substitute features, elements, components, functions, and stepsfrom one embodiment with those of another, even if the followingdescription does not explicitly state, in a particular instance, thatsuch combinations or substitutions are possible. Express recitation ofevery possible combination and substitution is overly burdensome,especially given that the permissibility of each and every suchcombination and substitution will be readily recognized by those ofordinary skill in the art upon reading this description.

In many instances entities are described herein as being coupled toother entities. It should be understood that the terms “coupled” and“connected” (or any of their forms) are used interchangeably herein and,in both cases, are generic to the direct coupling of two entities(without any non-negligible (e.g., parasitic) intervening entities) andthe indirect coupling of two entities (with one or more non-negligibleintervening entities). Where entities are shown as being directlycoupled together, or described as coupled together without descriptionof any intervening entity, it should be understood that those entitiescan be indirectly coupled together as well unless the context clearlydictates otherwise.

While the embodiments are susceptible to various modifications andalternative forms, specific examples thereof have been shown in thedrawings and are herein described in detail. It should be understood,however, that these embodiments are not to be limited to the particularform disclosed, but to the contrary, these embodiments are to cover allmodifications, equivalents, and alternatives falling within the spiritof the disclosure. Furthermore, any features, functions, steps, orelements of the embodiments may be recited in or added to the claims, aswell as negative limitations that define the inventive scope of theclaims by features, functions, steps, or elements that are not withinthat scope.

What is claimed is:
 1. A voltage multiplying circuit comprising: anindividual power source having a voltage V; an individual switch coupledto the individual power source; and a load coupled through theindividual switch to the individual power source, the load comprising asingle turn coil having a number N of coil arc sections that divide thesingle turn coil into electrically discreet arc segments, wherein the Ncoil arc sections are coupled in parallel to the individual switch,wherein a sum of the N coil arc sections equals a single turn and a loopvoltage of the load equals the voltage V multiplied by the number N ofcoil arc sections.
 2. The circuit of claim 1 wherein the power sourcecomprising one of a capacitor and a capacitor bank comprising aplurality of capacitors coupled in parallel to the individual switch. 3.The circuit of claim 1 wherein an inductance of the load is reduced as afunction of the number N of coil arc sections as compared to a loadcomprising an undivided single turn coil.
 4. The circuit of claim 1further comprising T split transmission feed lines coupled through theindividual switch to a feed of the individual power source and T splittransmission return lines coupled through the individual switch to areturn of the power source, wherein T equals the number N of coil arcsections.
 5. The circuit of claim 4 wherein the T split transmissionfeed and return lines comprise T coaxial cables.
 6. The circuit of claim5 wherein a center conductor on one of the T split transmission feedlines has a current return path in common with one of the other T splittransmission feed lines coupled through the individual switch to thefeed of the individual power source.
 7. The circuit of claim 1, whereinthe individual switch having a voltage rating capable of delivering thevoltage V from the individual power source into the load.
 8. The circuitof claim 1, wherein an applied voltage of the individual power source isof single polarity.
 9. The circuit of claims claim 1, wherein an appliedvoltage of the individual power source is of opposite polarity.
 10. Avoltage multiplying circuit comprising: an individual power sourcehaving a voltage V; an individual switch coupled to the individual powersource; and a load coupled through the individual switch to theindividual power source, the load comprising a coil having a number M ofcoils turns, and having a number N of coil arc sections that divide thecoil into electrically discreet arc segments, wherein the N coil arcsections are coupled in parallel to the individual switch, wherein a sumof the N coil arc sections equals the M coil turns and a voltage of theload equals the voltage V multiplied by the number N of coil arcsections and divided by the number M of coil turns.
 11. The circuit ofclaim 10, wherein the number M of coil turns is an integer.
 12. Thecircuit of claim 11, wherein the integer is equal to or greater than 2.13. The circuit of claim 10, wherein the number M of coil turns is anon-integer.
 14. The circuit of claim 13, wherein the non-integer isless than
 1. 15. The circuit of claim 10 wherein the power sourcecomprising one of a capacitor and a capacitor bank comprising aplurality of capacitors coupled in parallel to the individual switch.16. The circuit of claim 10 wherein an inductance of the load is reducedas a function of the number N of coil arc sections as compared to a loadcomprising an undivided coil.
 17. The circuit of claim 10 furthercomprising T split transmission feed lines coupled through theindividual switch to a feed of the individual power source and T splittransmission return lines coupled through the individual switch to areturn of the power source, wherein T equals the number N of coil arcsections.
 18. The circuit of claim 17 wherein the T split transmissionfeed and return lines comprise T coaxial cables.
 19. The circuit ofclaim 18 wherein a center conductor on one of the T split transmissionfeed lines has a current return path in common with one of the other Tsplit transmission feed lines coupled through the individual switch tothe feed of the individual power source.
 20. The circuit of claim 10,wherein the individual switch having a voltage rating capable ofdelivering the voltage V from the individual power source into the load.21. The circuit of claim 10, wherein an applied voltage of theindividual power source is of single polarity.
 22. The circuit of claimsclaim 10, wherein an applied voltage of the individual power source isof opposite polarity.
 23. The circuit of claim 16, wherein theinductance of the load is increased as a function of the number M ofcoil turns.